Structural Engineering and Mechanics

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Nonlinear finite element formulation for sliding cable structures considering frictional, thermal and pulley-dimension effects

  • Yang, Menggang (School of Civil Engineering, Central South University) ;
  • Chen, Shizai (School of Civil Engineering, Central South University) ;
  • Hu, Shangtao (School of Civil Engineering, Central South University)
  • Received : 2021.02.06
  • Accepted : 2022.01.21
  • Published : 2022.04.25
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Abstract

This paper presents a refined finite element formulation for nonlinear static and dynamic analysis of sliding cable structures, overcoming the limitation of the existing approaches that neglect or approximate the friction, pulley dimension, temperature and geometric nonlinearity. A new family of elements with the same framework is proposed, consisting of the cable-pulley (CP) elements considering sliding friction, and the non-sliding cable-pulley (NSCP) elements considering static friction. Thereafter, the complete procedure of static and dynamic analysis using the proposed elements is developed, with the capability of accurately dealing with the friction at each pulley. Several examples are utilized to verify the validity and accuracy of the proposed elements and analysis strategy, and investigate the frictional, thermal and pulley-dimension effects as well. The numerical examples show that the results obtained in this work are in good accordance with the existing works when using the same approximations of friction, pulley dimension and temperature. By avoiding the approximations, the proposed formulation can be effectively adopted in predicting the more precise nonlinear responses of sliding cable structures.

Keywords

Acknowledgement

This work was supported by the National Natural Science Foundation of China (No. 51978667). This support is gratefully acknowledged.

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